I have ALL of the above! With a mix of "Playboys" that don't follow though on their dutiesYes...some do...and, some will for different reasons.
A non fruitful Hen will sometimes seek a clandestine liason with a different than her Mate male, in order to preserve her marriage, while at the same time seeking viable Eggs.
Some males are just Playboys, and will seek casual liasons with hens other than their mate, just for fun.
Most Pigeons seem to be faithful and do not go outside of their marriage.
Some males have more than one marriage at the same time, with seperate Hens and seperate Nests and seperate simultaneous clutches of Babys.
Some males will have more than one Hen in the same Nest.
I have a male here who had three Hens in one Nest, sitting on six Eggs, and fighting with one-another about who's turn it was to sit, with him never sitting at all...but instead, he always stayed close to the Nest, guarding the situation faithfully, fiercely.
He loves Babys, and will adopt wayward or orphan ones and look after them and feed them...adopt them.
I do not know how he does it..! Pretty amazing to have three Wives/Hens in the same Nest.
All the Eggs hatched within days of eachother.